Answer:
17. 11/20
18. 75cm^2
19. 45
20. a. 93 b. 93 c. 90,94
Step-by-step explanation:
I suggest putting more points for it next time that's 4 questions and saying please makes you sound desperate.
Hope this helped! Have a nice day!
Answer: 7n
Step-by-step explanation
a product is the multiplication answer. so a number- n- multiplied by 7 is 7n.
Dy/dx=-2x+15
d2y/dx2=-2
Since the acceleration is a constant negative it has an absolute maximum value for y(x), thus it opens downward, as x decreases without bound as x approaches ±∞
Answer:
![\huge\boxed{9x-14y=-70}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B9x-14y%3D-70%7D)
Step-by-step explanation:
The point-slope form of an equation of a line:
![y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have two points (-6, 5) and (8, 14).
Substitute:
![m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B14-5%7D%7B8-%28-6%29%7D%3D%5Cdfrac%7B9%7D%7B14%7D%5C%5C%5C%5Cy-5%3D%5Cdfrac%7B9%7D%7B14%7D%28x-%28-6%29%29%5C%5C%5C%5Cy-5%3D%5Cdfrac%7B9%7D%7B14%7D%28x%2B6%29)
Thew standard form of an equation of a line:
![Ax+By=C](https://tex.z-dn.net/?f=Ax%2BBy%3DC)
transform:
![y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70](https://tex.z-dn.net/?f=y-5%3D%5Cdfrac%7B9%7D%7B14%7D%28x%2B6%29%5Cqquad%7C%5Ctext%7Bmultiply%20both%20sides%20by%2014%7D%5C%5C%5C%5C14y-14%5Ccdot5%3D14%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E1%5Ccdot%5Cdfrac%7B9%7D%7B14%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup_1%7D%28x%2B6%29%5C%5C%5C%5C14y-70%3D9%28x%2B6%29%5C%5C%5C%5C14y-70%3D9x%2B54%5Cqquad%7C%5Ctext%7Bsubtract%7D%5C%209x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C-9x%2B14y-70%3D54%5Cqquad%7C%5Ctext%7Badd%2070%20to%20both%20sides%7D%5C%5C%5C%5C-9x%2B14y%3D70%5Cqquad%7C%5Ctext%7Bchange%20the%20signs%7D%5C%5C%5C%5C9x-14y%3D-70)
Answer:
N= -2
Step-by-step explanation: